106505564 has 24 divisors (see below), whose sum is σ = 214032000. Its totient is φ = 45863280.

The previous prime is 106505563. The next prime is 106505569. The reversal of 106505564 is 465505601.

It is a super-2 number, since 2×106505564² = 22686870325916192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106505564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106505563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62864 + ... + 64535.

It is an arithmetic number, because the mean of its divisors is an integer number (8918000).

Almost surely, 2^106505564 is an apocalyptic number.

It is an amenable number.

106505564 is an abundant number, since it is smaller than the sum of its proper divisors (107526436).

106505564 is a wasteful number, since it uses less digits than its factorization.

106505564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127433 (or 127431 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 106505564 is about 10320.1532934351. The cubic root of 106505564 is about 474.0135598796.

The spelling of 106505564 in words is "one hundred six million, five hundred five thousand, five hundred sixty-four".